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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 1991

A mixed formulation for frictional contact problems prone to Newton like solution methods

Résumé

A mixed penalty-duality formulation of the frictional contact problem, inspired from an augmented Lagrangian approach is proposed. The continuity of the resulting conewise linear operator is used to establish a uniqueness condition on the coefficient of friction. Modified and generalized Newton methods are examined and sufficient conditions for their convergence conjectured. A cylindrical frictional contact problem assesses the stability of the method. Mixed penalty-duality methods are found more accurate and stabler than penalty methods and as economical as them.
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Dates et versions

hal-04264964 , version 1 (30-10-2023)

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Pierre Alart, Alain Curnier. A mixed formulation for frictional contact problems prone to Newton like solution methods. Computer Methods in Applied Mechanics and Engineering, 1991, 92 (3), pp.353-375. ⟨10.1016/0045-7825(91)90022-X⟩. ⟨hal-04264964⟩

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